 | George Sturton Ward - 1862 - 104 pagina’s
...of the fifth definition are violated. In the first of these cases the first magnitude is said d to have a greater ratio to the second than the third has to the fourth ; not that one ratio can be strictly said to be greater than another, but the first magnitude is greater... | |
 | Euclides - 1863 - 122 pagina’s
...first, &c. QED and whatever multiple K is of I), take N the same multiple of B. Cor.—If the first have a greater ratio to the second than the third has to the fourth; but the third the same ratio to the fourth which the fifth has to the sixth; it may he demonstrated,... | |
 | Euclides - 1864 - 448 pagina’s
...greater ratio to B, than E has to F, (v. def. 7.) Wherefore, if the first, &c. QED COR. And if the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth ; it may be demonstrated,... | |
 | Robert Potts - 1865 - 528 pagina’s
...greater ratio to B, than E has to F. (v. def. 7.) Wherefore, if the first, &c. QED CoR. And if the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth; it may be demonstrated,... | |
 | Euclides - 1865 - 402 pagina’s
...of them be the least, the fourth shall be the greatest. 8. If the first, together with the second, of four magnitudes, have a greater ratio to the second, than the third, together with the fourth, has to the fourth, the first shall have a greater ratio to the second than... | |
 | Euclid, Isaac Todhunter - 1867 - 426 pagina’s
...has a greater ratio to B than E has to F. Wherefore, if the first &c. QED COROLLARY. And if the first have a greater ratio to the second than the third has to the fourth, but the third the same ratio to the fourth that the fifth has to the sixth, it may be shewn, in the... | |
 | Robert Potts - 1868 - 434 pagina’s
...greater ratio to B, than E has to F. (v. def. 7.) Wherefore, if the first, &c. QED COR. And if the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth ; it may be demonstrated,... | |
 | Euclides - 1874 - 342 pagina’s
...greater ratio to B, than E has to F (V. Def. 7). Wherefore, if the first, &c. QED Cor. And if the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth ; it may be demonstrated,... | |
 | Euclid, James Bryce, David Munn (F.R.S.E.) - 1874 - 236 pagina’s
...third a greater ratio than the second has to the fourth. 3. If the first, together with the second, of four magnitudes have a greater ratio to the second, than the third, together with the fourth, has to the fourth, the first shall have a greater ratio to the second than... | |
 | Isaac Todhunter - 1880 - 426 pagina’s
...has a greater ratio to B than E has to F. Wherefore, if thefirst &c. QED COROLLARY. And if the first have a greater ratio to the second than the third has to the fourth, but the third the same ratio to the fourth that the fifth has to the sixth, it may be shewn, in the... | |
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And if the first have a greater ratio to the second, than the third has to the fourth, but the third the same ratio to the fourth, which the fifth has to the sixth... 
